By considering different paths of approach, show that the function below has no limit as (x,y)→(0,0). 4 X * x² + y² f(x,y)= Examine the values of f along curves that end at (0,0). Along which set of curves is f a constant value? OA. y = kx + kx², x*0 *B. y=kx², x#0 c. y=kx, x#0 OD. y=kx³, x#0 If (x,y) approaches (0,0) along the curve when k = 1 used in the set of curves found above, what is the limit? (Simplify your answer.)
By considering different paths of approach, show that the function below has no limit as (x,y)→(0,0). 4 X * x² + y² f(x,y)= Examine the values of f along curves that end at (0,0). Along which set of curves is f a constant value? OA. y = kx + kx², x*0 *B. y=kx², x#0 c. y=kx, x#0 OD. y=kx³, x#0 If (x,y) approaches (0,0) along the curve when k = 1 used in the set of curves found above, what is the limit? (Simplify your answer.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 27CR
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